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Relative Manin-Mumford for semi-abelian surfaces

Pillay, Anand and Bertrand, Daniel and Masser, David and Zannier, Umberto. (2016) Relative Manin-Mumford for semi-abelian surfaces. Preprints Fachbereich Mathematik, 2016 (27).

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Official URL: https://edoc.unibas.ch/69970/

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Abstract

We show that Ribet sections are the only obstruction to the validity of the relative Manin–Mumford conjecture for one-dimensional families of semi-abelian surfaces. Applications include special cases of the Zilber–Pink conjecture for curves in a mixed Shimura variety of dimension 4, as well as the study of polynomial Pell equations with non-separable discriminants.
Faculties and Departments:05 Faculty of Science > Departement Mathematik und Informatik > Ehemalige Einheiten Mathematik & Informatik > Zahlentheorie (Masser)
12 Special Collections > Preprints Fachbereich Mathematik
UniBasel Contributors:Masser, David
Item Type:Preprint
Publisher:Universität Basel
Language:English
Last Modified:06 May 2019 22:47
Deposited On:28 Mar 2019 09:51

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